Publicación: A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids
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Fecha
2023-12-16
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info:eu-repo/semantics/openAccess
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Springer Nature
Resumen
In this study, we analyze the convergence of the finite difference method on non-uniform grids and provide examples to demonstrate its effectiveness in approximating fractional differential equations involving the fractional Laplacian. By utilizing non-uniform grids, it becomes possible to achieve higher accuracy and improved resolution in specific regions of interest. Overall, our findings indicate that finite difference approximation on non-uniform grids can serve as a dependable and efficient tool for approximating fractional Laplacians across a diverse array of applications.
Descripción
The registered version of this article, first published in Communications on Applied Mathematics and Computation, is available online at the publisher's website: Springer Nature, https://doi.org/10.1007/s42967-023-00323-4
La versión registrada de este artículo, publicado por primera vez en Communications on Applied Mathematics and Computation, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s42967-023-00323-4
La versión registrada de este artículo, publicado por primera vez en Communications on Applied Mathematics and Computation, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s42967-023-00323-4
Categorías UNESCO
Palabras clave
meshless method, fractional differential equations, caputo fractional derivative
Citación
A.M. Vargas, A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids, Communications on Applied Mathematics and Computation https://doi.org/10.1007/s42967-023-00323-4
Centro
Facultades y escuelas::E.T.S. de Ingenieros Industriales
Departamento
Matemática Aplicada I